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Symbols




Union

Intersection



Union of sets:- The Union of two sets such as set A and set B is a new set C, which includes all the elements that are in either A or B or in both and no other elements. Elements in both sets are listed only once in the union of the sets.

Example: 1
A = {1,3,5,7,9}, B = {2,4,6,8,10} C = {4,11,12,3,15,7,8,9}

Find: (A B) C

A B = {1,2,3,4,5,6,7,8,9,10}

(A B) C = {1,2,3,4,5,6,7,8,9,10,11,12,15}

Example: 2
A = {apple, lemon, pear,grape}, B = {grapefruit,lime,orange,apple,grape} C = {peach,lime,lemon,apple,strawberry,guava}

Find: A (B C)

B C = {grapefruit,lime,orange,apple,grape,peach,lemon,strawberry,guava}

A (B C) = {grapefruit,lime,orange,apple,grape,peach,lemon,strawberry,guava,pear}

Intersection of sets:- The Intersection of two sets such as set A and set B is a new set C, which have only the elements that are in both sets.

Example: 3
A = {a,b,c,d,e,f}, B = {a,e,i,o,u} C = {e,f,g,h,i}

Find: (A B) C

A B = {a,e}

(A B) C = {e}

Example: 4
A = {a,b,c,d,e,f}, B = {a,e,i,o,u} C = {e,f,g,h,i}

Find: (A B) C

A B = {a,e}

(A B) C = {a,e,f,g,h,i}

Example: 5
A = {a,b,c,d,e,f}, B = {a,e,i,o,u} C = {e,f,g,h,i}

Find: (A B) C

A B = {a,b,c,d,e,f,i,o,u}

(A B) C = {e,f,i}



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